mathsurgery - Statistical enquiry year 9

All
• Discuss a problem that can be addressed by statistical methods and identify related questions to explore
• Decide which data to collect to answer a question, and the degree of accuracy needed; identify possible sources; consider appropriate sample size
• Plan how to collect the data; construct frequency tables with equal class intervals for gathering continuous data and two-way tables for recording discrete data
• Collect data using a suitable method (e.g. observation, controlled experiment, data logging using ICT)
• Compare two distributions using the range and one or more of the mode, median and mean
• Write about and discuss the results of a statistical enquiry using ICT as appropriate; justify the methods used

Most
• Use connections with related contexts to improve the analysis of a situation or problem
• Make accurate mathematical graphs
• Suggest a problem to explore using statistical methods, frame questions and raise conjectures
• Discuss how different sets of data relate to the problem; identify possible primary or secondary sources; determine the sample size and most appropriate degree of accuracy
• Design a survey or experiment to capture the necessary data from one or more sources; design, trial and if necessary refine data collection sheets; construct tables for gathering large discrete and continuous sets of raw data, choosing suitable class intervals; design and use two-way tables
• Gather data from specified secondary sources, including printed tables and lists, and ICT-based sources, including the internet
• Compare two or more distributions and make inferences, using the shape of the distributions and appropriate statistics
• Review interpretations and results of a statistical enquiry on the basis of discussions; communicate these interpretations and results using selected tables, graphs and diagrams

Some
• Explore the effects of varying values and look for invariance and covariance in models and representations
• Independently devise a suitable plan for a substantial statistical project and justify the decisions made
• Identify possible sources of bias and plan how to minimise it
• Break a task down into an appropriate series of key statements (hypotheses), and decide upon the best methods for testing these
gather data from primary and secondary sources, using ICT and other methods, including data from observation, controlled experiment, data logging, printed tables and lists
• Analyse data to find patterns and exceptions, and try to explain anomalies; include social statistics such as index numbers, time series and survey data
• Appreciate that correlation is a measure of the strength of association between two variables; distinguish between positive, negative and zero correlation, using lines of best fit; appreciate that zero correlation does not necessarily imply ‘no relationship’ but merely ‘no linear relationship’
• Examine critically the results of a statistical enquiry; justify choice of statistical representations and relate summarised data to the questions being explored

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Statistical enquiry year 9